Respuesta :
Answer:
(1)7 (2)9 (3)6
Step-by-step explanation:
[tex]\left|\begin{array}{c|cc}X&f(X)=X^2+7\\--&-----\\2&11\\3&16\\4&23\\5&32\\6&43\end{array}\right|[/tex]
(1)The average rate of change between x=2 and x=5
[tex]\dfrac{dy}{dx} =\dfrac{f(5)-f(2)}{5-2} =\dfrac{32-11}{3} =\dfrac{21}{3} =7[/tex]
(2)The average rate of change between x=3 and x=6
[tex]\dfrac{dy}{dx} =\dfrac{f(6)-f(3)}{6-3} =\dfrac{43-16}{3} =\dfrac{27}{3} =9[/tex]
(3)The average rate of change between x=2 and x=4
[tex]\dfrac{dy}{dx} =\dfrac{f(4)-f(2)}{4-2} =\dfrac{23-11}{2} =\dfrac{12}{2} =6[/tex]
